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3640656 = 243731039
BaseRepresentation
bin1101111000110101010000
320211222001010
431320311100
51413000111
6210010520
742642105
oct15706520
96758033
103640656
112067308
121276a40
139a6146
146aaaac
154bdaa6
hex378d50

3640656 has 40 divisors (see below), whose sum is σ = 9543040. Its totient is φ = 1195776.

The previous prime is 3640649. The next prime is 3640661. The reversal of 3640656 is 6560463.

3640656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36406562 = 26508752220672, which contains 22 as substring.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2985 + ... + 4023.

It is an arithmetic number, because the mean of its divisors is an integer number (238576).

Almost surely, 23640656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3640656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4771520).

3640656 is an abundant number, since it is smaller than the sum of its proper divisors (5902384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3640656 is a wasteful number, since it uses less digits than its factorization.

3640656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 3640656 is about 1908.0503138020. The cubic root of 3640656 is about 153.8366739800.

The spelling of 3640656 in words is "three million, six hundred forty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1039 1168 1752 2078 3117 3504 4156 6234 8312 12468 16624 24936 49872 75847 151694 227541 303388 455082 606776 910164 1213552 1820328 3640656